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Finding the Third Proportional to 6,266,727 and 13,743,108

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Solution

The third proportional to 6,266,727 and 13,743,108 is: 30,139,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266,727 : 13,743,108 = 13,743,108 : x
  2. Step 2: Convert to fraction form
    6,266,727/13,743,108 = 13,743,108/x
  3. Step 3: Cross multiply
    6,266,727x = 13,743,108 × 13,743,108
  4. Step 4: Simplify right side
    6,266,727x = 188,873,017,499,664
  5. Step 5: Solve for x
    x = 188,873,017,499,664/6,266,727
  6. Step 6: Final answer
    x = 30,139,021.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.